Finding the Third Proportional to 177,511 and 389,446.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,511 : 389,446.50 = 389,446.50 : x
2. Step 2: Convert to fraction form
   177,511/389,446.50 = 389,446.50/x
3. Step 3: Cross multiply
   177,511x = 389,446.50 × 389,446.50
4. Step 4: Simplify right side
   177,511x = 151,668,576,362.25
5. Step 5: Solve for x
   x = 151,668,576,362.25/177,511
6. Step 6: Final answer
   x = 854,417.90